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TRIGONOItHIT1t1C `FORMUI;,. it
<br /> ,,riX _ l B B B
<br /> s a
<br /> 5v 3 -6 3,`x`1- 3,3 „ .n a
<br /> i3 o S �� fix` p b C b 1
<br /> c
<br /> -
<br /> (>L,o b 3 7 `' angle Oblique Triangle@
<br /> ,
<br /> 3 p Solution adi.' Right Triangles
<br /> a
<br /> b d S .For Angier+#. a yy= c ,cos= s:48n b ,cot= a,sea= b, cosec= a
<br /> y: g 3 tii'.eu ags
<br /> q b ;fie tan A- b . cotAo� ,-a 1 +as
<br /> -�— .
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<br /> S 8 a, o tl*,�,B,b -
<br /> s
<br /> 03
<br /> 63 7-1 3 - A a Bj,iy, a B=90°d,b-aootA,op- Z►-
<br /> .Td,77 'a
<br /> 3, 8 0 -• z �4,:it B,:r,.# B-90°d,a m.b tail A,o= z-
<br /> ----^. *. cos A:
<br /> ti -4 � I B=90°-A,a=o min A,W=o'coe A, r
<br /> 1:7a Solution of Obligur Triangles
<br /> Required
<br /> C b- a sin B' c= 180°-(A+B),c ='a sin C
<br /> sin A sin A
<br /> 101- 9 v ) bsinA
<br /> r¢'.a- S ------- ��r�.b B,a, L'' sin.B= a ,U= 180°-(A-!-B),a = a cin C
<br /> - sin A
<br /> 1'
<br /> 1.3 .3 Z 3 s r` A, B, a A+11=180°-C,tan i(A-B)= !! an b—B-�,
<br /> a - asina
<br /> b4; 2F L sin
<br /> y y
<br /> 3. 7 ? �r ti# A.B. a 8=a a,ein+)A- s b a-c , J v y 3
<br /> FT
<br /> i sin}B=Y a s( )( �C=180°-(A+B)
<br /> U ,Q O,9. '1- Y.u a, b, a R" Area a=m- °,area
<br /> L S J'7� A, b, a Area area =
<br /> &'o A
<br /> 1. +� ? z 7 (, �/ R at sin-B an 0
<br /> �l 3 -�� A,B,e, Area area = --
<br /> 0 3 >' $ 2.sin A
<br /> r !3 y -REDUCTION TO HORIZONTAL
<br /> Horizontal'dtatance=Slope distance rjsultiplied by the
<br /> cosine of the vertical angle.Thus:slope distance=319.411
<br /> �paa Vertangle=ti°10'. From Table,page IX. cos F°Id=
<br /> 8869. Horizontal distance=829.4X. 8=.818 09 ft
<br /> '1= 510 Apd1e Horizontal distance also—Slope distance minus slope
<br /> 4e distance timp�s�0 cosine of.vertical angle). M the
<br /> Horizontal distance tII�g=esu1 'oiSttafned Cosin 6°54. 11e,t w.
<br /> 319.4X.0041=2.91.318.4-1.31=918.99 tt.
<br /> -� When the rise is known,the horizontal distance is approximately:—the slope dist-
<br /> Knee less the square of the rise divided by twice the slope distance. Thus:rise=14 ft.
<br /> I slope 41418928 it. Horizontal distanca=sM6- 14J 14=9026—a32=30228 ft.
<br /> +—,— .w.Via.o:®■
<br /> 2X302.8
<br /> MADE IN U.S.A.
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